Why I am an Anarchist

No, that would be a Mobocracy.

Anarchy is NO rule.

Yes, technically so, but anarchy would eventually lead to Mob rule, and then conversely, rule by the mighty.....

Anarchy as a political system, as pointed out, will not work for the same reasons communism doesn't.... It's easily corruptible, and once ones are in a position of power, they will continue to become more corrupt, even moreso than in a free market system....